hypotheses
:
H
0
:
μ
1

μ
2
≤
D
0
H
a
:
μ
1

μ
2
>
D
0
H
0
:
μ
1

μ
2
≥
D
0
H
a
:
μ
1

μ
2
<
D
0
H
0
:
μ
1

μ
2
=
D
0
H
a
:
μ
1

μ
2
≠
D
0
variance
(
s
)
:
unequal
equal
(
pooled
)
level
of
significance
,
α
0
.
05
size
of
first
sample
,
n
1
30
size
of
second
sample
,
n
2
30
first
sample
mean
,
_
X
1
100
second
sample
mean
,
_
X
2
100
hypothesized
difference
,
D
0
0
standard
deviation
of
first
sample
,
s
1
10
standard
deviation
of
second
sample
,
s
2
10

4

2
2
4
0
.
1
0
.
2
0
.
3
0
.
4
conclusion
:
fail
to
reject
H
0
p

value
:
0
.
5
level
of
significance
:
0
.
05
calculated
value
(
red
line
)
:
0
.
degrees
of
freedom
:
58
.
critical
value
(
black
line
(
s
)
)
:
1
.
67155